Question

situation
mrs. harrison can watch 15 tik toks in 5 minutes. how many can she watch in 1 minute?
name: tavleigue
block: 3rd
equation
write an equation to represent the situation. label each part
graph
title
table
describe in words why your graph is proportional.
take any point from the graph and explain what it means in the situation.
highlight the unit rate in your table, graph, and equation.

Explanation:

Step1: Find the unit - rate

We know that Mrs. Harrison can watch 15 TikTok videos in 5 minutes. To find out how many she can watch in 1 minute, we use the formula $\text{unit rate}=\frac{\text{number of videos}}{\text{number of minutes}}$. So, $\frac{15}{5}=3$ videos per minute.

Step2: Write the equation

Let $x$ be the number of minutes and $y$ be the number of TikTok videos. The equation representing the situation is $y = 3x$, where 3 is the rate (number of videos per minute) and $x$ is the input (number of minutes) and $y$ is the output (number of videos).

Step3: Fill the table

$x$ (minutes)	$y$ (videos)	$\frac{y}{x}$
1	3	3
2	6	3
3	9	3
4	12	3
5	15	3

Step4: Graph and explain proportionality

The graph of $y = 3x$ is a straight - line passing through the origin $(0,0)$. It is proportional because the ratio $\frac{y}{x}$ is always equal to 3 (the unit rate). For any two points $(x_1,y_1)$ and $(x_2,y_2)$ on the line, $\frac{y_1}{x_1}=\frac{y_2}{x_2}=3$.
For example, if we take the point $(2,6)$ on the graph, it means that in 2 minutes, Mrs. Harrison can watch 6 TikTok videos.
The unit rate of 3 is shown in the table as the constant value of $\frac{y}{x}$, on the graph as the slope of the line $y = 3x$, and in the equation as the coefficient of $x$.

Answer:

Mrs. Harrison can watch 3 TikTok videos in 1 minute. The equation is $y = 3x$, where $y$ is the number of TikTok videos and $x$ is the number of minutes.